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Simplifying -41 = 6x + 5(2x + 1) Reorder the terms: -41 = 6x + 5(1 + 2x) -41 = 6x + (1 * 5 + 2x * 5) -41 = 6x + (5 + 10x) Reorder the terms: -41 = 5 + 6x + 10x Combine like terms: 6x + 10x = 16x -41 = 5 + 16x Solving -41 = 5 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -41 + -16x = 5 + 16x + -16x Combine like terms: 16x + -16x = 0 -41 + -16x = 5 + 0 -41 + -16x = 5 Add '41' to each side of the equation. -41 + 41 + -16x = 5 + 41 Combine like terms: -41 + 41 = 0 0 + -16x = 5 + 41 -16x = 5 + 41 Combine like terms: 5 + 41 = 46 -16x = 46 Divide each side by '-16'. x = -2.875 Simplifying x = -2.875
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